272440460400 has 120 divisors (see below), whose sum is σ = 918650190720. Its totient is φ = 68827057920.

The previous prime is 272440460387. The next prime is 272440460431. The reversal of 272440460400 is 4064044272.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5951772 + ... + 5997371.

It is an arithmetic number, because the mean of its divisors is an integer number (7655418256).

Almost surely, 2^272440460400 is an apocalyptic number.

272440460400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272440460400 is an abundant number, since it is smaller than the sum of its proper divisors (646209730320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272440460400 is a wasteful number, since it uses less digits than its factorization.

272440460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949183 (or 11949172 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 272440460400 in words is "two hundred seventy-two billion, four hundred forty million, four hundred sixty thousand, four hundred".